Decentralized control for discrete-time switched large-scale linear systems

Author

Sun, Changchun

Author_Institution

Sch. of Sci., Shenyang Jianzhu Univ., Shenyang, China

Volume

1

fYear

2011

fDate

25-28 July 2011

Firstpage

325

Lastpage

328

Abstract

Based on convex combination technique and LMI (linear matrix inequality) approach, the problems of asymptotic stability and decentralized state feedback stabilization for a class of discrete-time switched large-scale linear systems are considered. Under the condition that any subsystem of each low-dimensional discrete-time subsystem is unstable or can not be stabilized, decentralized controllers and decentralized switching laws are designed to guarantee closed-loop systems be asymptotically stable. A sufficient condition of stabilization is expressed as the solvability problems of linear matrix inequalities. Feasible algorithm is presented. A numerical example shows the effectiveness of the method.

Keywords

asymptotic stability; closed loop systems; computability; control system synthesis; decentralised control; discrete time systems; large-scale systems; linear matrix inequalities; linear systems; stability criteria; state feedback; time-varying systems; LMI approach; asymptotic stability; closed loop systems; convex combination technique; decentralized controller; decentralized state feedback stabilization; decentralized switching laws; discrete time switched large scale linear system; linear matrix inequalities; low-dimensional discrete time subsystem; solvability problems; stabilization condition; Distributed control; Large-scale systems; Linear matrix inequalities; Sufficient conditions; Switches; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4577-0813-8

Type

conf

DOI

10.1109/ICICIP.2011.6008258

Filename

6008258